In this paper, a new extension for Delannoy numbers is presented. Also, several identities such as generating function and recurrence relations for these numbers are obtained.

中文翻译：

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Delannoy数的新推广

在本文中，提出了Delannoy数的新扩展。同样，获得了一些标识，例如这些数字的生成函数和递归关系。